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Finding the Third Proportional to 7,669,400 and 12,209,436

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Solution

The third proportional to 7,669,400 and 12,209,436 is: 19,437,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,400 : 12,209,436 = 12,209,436 : x
  2. Step 2: Convert to fraction form
    7,669,400/12,209,436 = 12,209,436/x
  3. Step 3: Cross multiply
    7,669,400x = 12,209,436 × 12,209,436
  4. Step 4: Simplify right side
    7,669,400x = 149,070,327,438,096
  5. Step 5: Solve for x
    x = 149,070,327,438,096/7,669,400
  6. Step 6: Final answer
    x = 19,437,026.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.